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Finding the Fourth Proportional to 11,638.42, 17,443.95 and 5,385.22

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Solution

The fourth proportional to 11,638.42, 17,443.95 and 5,385.22 is: 8,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.42 : 17,443.95 = 5,385.22 : x
  2. Step 2: Convert to fraction form
    11,638.42/17,443.95 = 5,385.22/x
  3. Step 3: Cross multiply
    11,638.42x = 17,443.95 × 5,385.22
  4. Step 4: Simplify right side
    11,638.42x = 93,939,464.81
  5. Step 5: Solve for x
    x = 93,939,464.81/11,638.42
  6. Step 6: Final answer
    x = 8,071.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.